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The length of a tunnel is 460 miles. On a map, 1 inch

represents 60 miles. What is the length of the tunnel
shown on the map?

User Jsncrdnl
by
8.6k points

1 Answer

4 votes

Final answer:

To find the length of the tunnel on the map, we use a proportion based on the scale given: 1 inch equates to 60 miles. Solving the proportion, we find that the 460-mile tunnel is represented by approximately 7.67 inches on the map.

Step-by-step explanation:

To determine the length of the tunnel shown on the map, we will use the given scale, which states that 1 inch on the map represents 60 miles in reality.

To find the length on the map, we can set up a proportion where the actual distance (460 miles) is proportional to the length of the tunnel on the map (in inches):

\(\frac{1\text{ inch}}{60\text{ miles}} = \frac{x\text{ inches}}{460\text{ miles}}\)

Now, we solve for \(x\) by cross-multiplication:

\(60\text{ miles} \times x\text{ inches} = 1\text{ inch} \times 460\text{ miles}\)

\(60x = 460\)

\(x = \frac{460}{60}\)

\(x = 7.67\)

The length of the tunnel shown on the map would therefore be approximately 7.67 inches.

User SoWeLie
by
7.8k points
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